PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation

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dc.creatorBagchi, Bijan
dc.creatorFring, Andreas
dc.date2008-07-11
dc.date.accessioned2026-07-07T10:19:38Z
dc.date.available2026-07-07T10:19:38Z
dc.descriptionWe discuss several PT-symmetric deformations of superderivatives. Based on these various possibilities, we propose new families of complex PT-symmetric deformations of the supersymmetric Korteweg-de Vries equation. Some of these new models are mere fermionic extensions of the former in the sense that they are formulated in terms of superspace valued superfields containing bosonic and fermionic fields, breaking however the supersymmetry invariance. Nonetheless, we also find extensions, which may be viewed as new supersymmetric Korteweg-de Vries equation. Moreover, we show that these deformations allow for a non-Hermitian Hamiltonian formulation and construct three charges associated to the corresponding flow.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0807.1828
dc.identifierhttp://arxiv.org/abs/0807.1828
dc.identifierJournal of Physics A: Math. Theor. 41 (2008) 392004
dc.identifierdoi:10.1088/1751-8113/41/39/392004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174581
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titlePT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
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